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function</title> <meta name="description" content="Search results for: Euler function"> <meta name="keywords" content="Euler function"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Euler function"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 2217</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Euler function</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2217</span> Analysis of Euler Angles in a Simple Two-Axis Gimbals Set</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ma%20Myint%20Myint%20Aye">Ma Myint Myint Aye</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Any rotation of a 3-dimensional object can be performed by three consecutive rotations over Euler angles. Intrinsic rotations produce the same result as extrinsic rotations in transformation. Euler rotations are the movement obtained by changing one of the Euler angles while leaving the other two constant. These Euler rotations are applied in a simple two-axis gimbals set mounted on an automotives. The values of Euler angles are [π/4, π/4, π/4] radians inside the angles ranges for a given coordinate system and these actual orientations can be directly measured from these gimbals set of moving automotives but it can occur the gimbals lock in application at [π/2.24, 0, 0] radians. In order to avoid gimbals lock, the values of quaternion must be [π/4.8, π/8.2, 0, π/4.8] radians. The four-gimbals set can eliminate gimbals lock.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Intrinsic%20rotations" title="Intrinsic rotations">Intrinsic rotations</a>, <a href="https://publications.waset.org/search?q=extrinsic%20rotations" title=" extrinsic rotations"> extrinsic rotations</a>, <a href="https://publications.waset.org/search?q=Euler%20rotations" title=" Euler rotations"> Euler rotations</a>, <a href="https://publications.waset.org/search?q=rotation%20matrices" title=" rotation matrices"> rotation matrices</a>, <a href="https://publications.waset.org/search?q=quaternion." title=" quaternion."> quaternion.</a> </p> <a href="https://publications.waset.org/3518/analysis-of-euler-angles-in-a-simple-two-axis-gimbals-set" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3518/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3518/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3518/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3518/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3518/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3518/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3518/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3518/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3518/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3518/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3518.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3446</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2216</span> The Euler Equations of Steady Flow in Terms of New Dependent and Independent Variables</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Peiangpob%20Monnuanprang">Peiangpob Monnuanprang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper we study the transformation of Euler equations  1 , u u u Pf t (ρ ∂) + ⋅∇ = − ∇ + ∂ G G G G ∇⋅ = u 0, G where (ux, t) G G is the velocity of a fluid, P(x, t) G is the pressure of a fluid andρ (x, t) G is density. First of all, we rewrite the Euler equations in terms of new unknown functions. Then, we introduce new independent variables and transform it to a new curvilinear coordinate system. We obtain the Euler equations in the new dependent and independent variables. The governing equations into two subsystems, one is hyperbolic and another is elliptic.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Euler%20equations" title="Euler equations">Euler equations</a>, <a href="https://publications.waset.org/search?q=transformation" title=" transformation"> transformation</a>, <a href="https://publications.waset.org/search?q=hyperbolic" title=" hyperbolic"> hyperbolic</a>, <a href="https://publications.waset.org/search?q=elliptic" title=" elliptic"> elliptic</a> </p> <a href="https://publications.waset.org/7843/the-euler-equations-of-steady-flow-in-terms-of-new-dependent-and-independent-variables" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7843/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7843/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7843/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7843/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7843/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7843/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7843/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7843/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7843/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7843/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7843.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1737</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2215</span> Closed-Form Solutions for Nanobeams Based On the Nonlocal Euler-Bernoulli Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Francesco%20Marotti%20de%20Sciarra">Francesco Marotti de Sciarra</a>, <a href="https://publications.waset.org/search?q=Raffaele%20Barretta"> Raffaele Barretta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Starting from nonlocal continuum mechanics, a thermodynamically new nonlocal model of Euler-Bernoulli nanobeams is provided. The nonlocal variational formulation is consistently provided and the governing differential equation for transverse displacement is presented. Higher-order boundary conditions are then consistently derived. An example is contributed in order to show the effectiveness of the proposed model.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bernoulli-Euler%20beams" title="Bernoulli-Euler beams">Bernoulli-Euler beams</a>, <a href="https://publications.waset.org/search?q=Nanobeams" title=" Nanobeams"> Nanobeams</a>, <a href="https://publications.waset.org/search?q=nonlocal%0D%0Aelasticity." title=" nonlocal elasticity."> nonlocal elasticity.</a> </p> <a href="https://publications.waset.org/10000832/closed-form-solutions-for-nanobeams-based-on-the-nonlocal-euler-bernoulli-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10000832/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10000832/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10000832/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10000832/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10000832/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10000832/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10000832/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10000832/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10000832/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10000832/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10000832.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2334</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2214</span> Experimental Investigation of Natural Frequency and Forced Vibration of Euler-Bernoulli Beam under Displacement of Concentrated Mass and Load</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Aref%20Aasi">Aref Aasi</a>, <a href="https://publications.waset.org/search?q=Sadegh%20Mehdi%20Aghaei"> Sadegh Mehdi Aghaei</a>, <a href="https://publications.waset.org/search?q=Balaji%20Panchapakesan"> Balaji Panchapakesan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This work aims to evaluate the free and forced vibration of a beam with two end joints subjected to a concentrated moving mass and a load using the Euler-Bernoulli method. The natural frequency is calculated for different locations of the concentrated mass and load on the beam. The analytical results are verified by the experimental data. The variations of natural frequency as a function of the location of the mass, the effect of the forced frequency on the vibrational amplitude, and the displacement amplitude versus time are investigated. It is discovered that as the concentrated mass moves toward the center of the beam, the natural frequency of the beam and the relative error between experimental and analytical data decreases. There is a close resemblance between analytical data and experimental observations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Euler-Bernoulli%20beam" title="Euler-Bernoulli beam">Euler-Bernoulli beam</a>, <a href="https://publications.waset.org/search?q=natural%20frequency" title=" natural frequency"> natural frequency</a>, <a href="https://publications.waset.org/search?q=forced%20vibration" title=" forced vibration"> forced vibration</a>, <a href="https://publications.waset.org/search?q=experimental%20setup." title=" experimental setup."> experimental setup.</a> </p> <a href="https://publications.waset.org/10012512/experimental-investigation-of-natural-frequency-and-forced-vibration-of-euler-bernoulli-beam-under-displacement-of-concentrated-mass-and-load" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012512/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012512/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012512/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012512/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012512/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012512/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012512/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012512/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012512/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10012512/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10012512.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">603</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2213</span> Free Vibration Analysis of Non-Uniform Euler Beams on Elastic Foundation via Homotopy Perturbation Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=U.%20Mutman">U. Mutman</a>, <a href="https://publications.waset.org/search?q=S.%20B.%20Coskun"> S. B. Coskun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study Homotopy Perturbation Method (HPM) is employed to investigate free vibration of an Euler beam with variable stiffness resting on an elastic foundation. HPM is an easy-to-use and very efficient technique for the solution of linear or nonlinear problems. HPM produces analytical approximate expression which is continuous in the solution domain. This work shows that HPM is a promising method for free vibration analysis of nonuniform Euler beams on elastic foundation. Several case problems have been solved by using the technique and solutions have been compared with those available in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Homotopy%20Perturbation%20Method" title="Homotopy Perturbation Method">Homotopy Perturbation Method</a>, <a href="https://publications.waset.org/search?q=Elastic%20Foundation" title=" Elastic Foundation"> Elastic Foundation</a>, <a href="https://publications.waset.org/search?q=Vibration" title=" Vibration"> Vibration</a>, <a href="https://publications.waset.org/search?q=Beam" title=" Beam"> Beam</a> </p> <a href="https://publications.waset.org/16353/free-vibration-analysis-of-non-uniform-euler-beams-on-elastic-foundation-via-homotopy-perturbation-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16353/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16353/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16353/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16353/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16353/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16353/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16353/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16353/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16353/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16353/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16353.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2217</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2212</span> Free Flapping Vibration of Rotating Inclined Euler Beams</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Chih-Ling%20Huang">Chih-Ling Huang</a>, <a href="https://publications.waset.org/search?q=Wen-Yi%20Lin"> Wen-Yi Lin</a>, <a href="https://publications.waset.org/search?q=Kuo-Mo%20Hsiao"> Kuo-Mo Hsiao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A method based on the power series solution is proposed to solve the natural frequency of flapping vibration for the rotating inclined Euler beam with constant angular velocity. The vibration of the rotating beam is measured from the position of the corresponding steady state axial deformation. In this paper the governing equations for linear vibration of a rotating Euler beam are derived by the d'Alembert principle, the virtual work principle and the consistent linearization of the fully geometrically nonlinear beam theory in a rotating coordinate system. The governing equation for flapping vibration of the rotating inclined Euler beam is linear ordinary differential equation with variable coefficients and is solved by a power series with four independent coefficients. Substituting the power series solution into the corresponding boundary conditions at two end nodes of the rotating beam, a set of homogeneous equations can be obtained. The natural frequencies may be determined by solving the homogeneous equations using the bisection method. Numerical examples are studied to investigate the effect of inclination angle on the natural frequency of flapping vibration for rotating inclined Euler beams with different angular velocity and slenderness ratio. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Flapping%20vibration" title="Flapping vibration">Flapping vibration</a>, <a href="https://publications.waset.org/search?q=Inclination%20angle" title=" Inclination angle"> Inclination angle</a>, <a href="https://publications.waset.org/search?q=Natural%20frequency" title=" Natural frequency"> Natural frequency</a>, <a href="https://publications.waset.org/search?q=Rotating%20beam." title=" Rotating beam."> Rotating beam.</a> </p> <a href="https://publications.waset.org/11504/free-flapping-vibration-of-rotating-inclined-euler-beams" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11504/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11504/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11504/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11504/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11504/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11504/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11504/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11504/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11504/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11504/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11504.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2186</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2211</span> Stabilization of the Bernoulli-Euler Plate Equation: Numerical Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Carla%20E.%20O.%20de%20Moraes">Carla E. O. de Moraes</a>, <a href="https://publications.waset.org/search?q=Gladson%20O.%20Antunes"> Gladson O. Antunes</a>, <a href="https://publications.waset.org/search?q=Mauro%20A.%20Rincon"> Mauro A. Rincon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The aim of this paper is to study the internal stabilization of the Bernoulli-Euler equation numerically. For this, we consider a square plate subjected to a feedback/damping force distributed only in a subdomain. An algorithm for obtaining an approximate solution to this problem was proposed and implemented. The numerical method used was the Finite Difference Method. Numerical simulations were performed and showed the behavior of the solution, confirming the theoretical results that have already been proved in the literature. In addition, we studied the validation of the numerical scheme proposed, followed by an analysis of the numerical error; and we conducted a study on the decay of the energy associated.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bernoulli-Euler%20Plate%20Equation" title="Bernoulli-Euler Plate Equation">Bernoulli-Euler Plate Equation</a>, <a href="https://publications.waset.org/search?q=Numerical%20Simulations" title=" Numerical Simulations"> Numerical Simulations</a>, <a href="https://publications.waset.org/search?q=Stability" title=" Stability"> Stability</a>, <a href="https://publications.waset.org/search?q=Energy%20Decay" title=" Energy Decay"> Energy Decay</a>, <a href="https://publications.waset.org/search?q=Finite%20Difference%20Method." title=" Finite Difference Method."> Finite Difference Method.</a> </p> <a href="https://publications.waset.org/9999079/stabilization-of-the-bernoulli-euler-plate-equation-numerical-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999079/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999079/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999079/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999079/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999079/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999079/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999079/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999079/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999079/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999079/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999079.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2035</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2210</span> Ordinary Differential Equations with Inverted Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Thomas%20Kampke">Thomas Kampke</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Equations with differentials relating to the inverse of an unknown function rather than to the unknown function itself are solved exactly for some special cases and numerically for the general case. Invertibility combined with differentiability over connected domains forces solutions always to be monotone. Numerical function inversion is key to all solution algorithms which either are of a forward type or a fixed point type considering whole approximate solution functions in each iteration. The given considerations are restricted to ordinary differential equations with inverted functions (ODEIs) of first order. Forward type computations, if applicable, admit consistency of order one and, under an additional accuracy condition, convergence of order one.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Euler%20method" title="Euler method">Euler method</a>, <a href="https://publications.waset.org/search?q=fixed%20points" title=" fixed points"> fixed points</a>, <a href="https://publications.waset.org/search?q=golden%20section" title=" golden section"> golden section</a>, <a href="https://publications.waset.org/search?q=multi-step%20procedures" title=" multi-step procedures"> multi-step procedures</a>, <a href="https://publications.waset.org/search?q=Runge%20Kutta%20methods." title=" Runge Kutta methods."> Runge Kutta methods.</a> </p> <a href="https://publications.waset.org/4337/ordinary-differential-equations-with-inverted-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4337/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4337/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4337/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4337/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4337/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4337/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4337/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4337/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4337/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4337/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4337.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1448</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2209</span> Notes on Vibration Design for Piezoelectric Cooling Fan</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Thomas%20Jin-Chee%20Liu">Thomas Jin-Chee Liu</a>, <a href="https://publications.waset.org/search?q=Yu-Shen%20Chen"> Yu-Shen Chen</a>, <a href="https://publications.waset.org/search?q=Hsi-Yang%20Ho"> Hsi-Yang Ho</a>, <a href="https://publications.waset.org/search?q=Jyun-Ting%20Liu"> Jyun-Ting Liu</a>, <a href="https://publications.waset.org/search?q=Chih-Chun%20Lee"> Chih-Chun Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper discusses some notes on the vibration design for the piezoelectric cooling fan. After reviewing the fundamental formulas of the cantilever Euler beam, it is not easy to find the optimal design of the piezoelectric fan. The experiments also show the complicated results of the vibration behavior and air flow.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Piezoelectric%20cooling%20fan" title="Piezoelectric cooling fan">Piezoelectric cooling fan</a>, <a href="https://publications.waset.org/search?q=vibration" title=" vibration"> vibration</a>, <a href="https://publications.waset.org/search?q=cantilever%20Euler%20beam" title=" cantilever Euler beam"> cantilever Euler beam</a>, <a href="https://publications.waset.org/search?q=air%20flow." title=" air flow. "> air flow. </a> </p> <a href="https://publications.waset.org/17409/notes-on-vibration-design-for-piezoelectric-cooling-fan" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17409/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17409/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17409/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17409/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17409/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17409/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17409/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17409/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17409/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17409/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17409.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3013</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2208</span> Two Different Computing Methods of the Smith Arithmetic Determinant</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xing-Jian%20Li">Xing-Jian Li</a>, <a href="https://publications.waset.org/search?q=Shen%20Qu"> Shen Qu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The Smith arithmetic determinant is investigated in this paper. By using two different methods, we derive the explicit formula for the Smith arithmetic determinant.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Elementary%20row%20transformation" title="Elementary row transformation">Elementary row transformation</a>, <a href="https://publications.waset.org/search?q=Euler%20function" title=" Euler function"> Euler function</a>, <a href="https://publications.waset.org/search?q=Matrix%20decomposition" title=" Matrix decomposition"> Matrix decomposition</a>, <a href="https://publications.waset.org/search?q=Smith%20arithmetic%20determinant." title=" Smith arithmetic determinant."> Smith arithmetic determinant.</a> </p> <a href="https://publications.waset.org/9996770/two-different-computing-methods-of-the-smith-arithmetic-determinant" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9996770/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9996770/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9996770/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9996770/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9996770/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9996770/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9996770/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9996770/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9996770/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9996770/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9996770.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2638</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2207</span> Solution of Density Dependent Nonlinear Reaction-Diffusion Equation Using Differential Quadrature Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=G%C3%BClnihal%20Meral">G眉lnihal Meral</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the density dependent nonlinear reactiondiffusion equation, which arises in the insect dispersal models, is solved using the combined application of differential quadrature method(DQM) and implicit Euler method. The polynomial based DQM is used to discretize the spatial derivatives of the problem. The resulting time-dependent nonlinear system of ordinary differential equations(ODE-s) is solved by using implicit Euler method. The computations are carried out for a Cauchy problem defined by a onedimensional density dependent nonlinear reaction-diffusion equation which has an exact solution. The DQM solution is found to be in a very good agreement with the exact solution in terms of maximum absolute error. The DQM solution exhibits superior accuracy at large time levels tending to steady-state. Furthermore, using an implicit method in the solution procedure leads to stable solutions and larger time steps could be used. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Density%20Dependent%20Nonlinear%20Reaction-Diffusion%20Equation" title="Density Dependent Nonlinear Reaction-Diffusion Equation">Density Dependent Nonlinear Reaction-Diffusion Equation</a>, <a href="https://publications.waset.org/search?q=Differential%20Quadrature%20Method" title=" Differential Quadrature Method"> Differential Quadrature Method</a>, <a href="https://publications.waset.org/search?q=Implicit%20Euler%20Method." title=" Implicit Euler Method."> Implicit Euler Method.</a> </p> <a href="https://publications.waset.org/8909/solution-of-density-dependent-nonlinear-reaction-diffusion-equation-using-differential-quadrature-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8909/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8909/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8909/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8909/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8909/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8909/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8909/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8909/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8909/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8909/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8909.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2273</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2206</span> Exponential Stability of Numerical Solutions to Stochastic Age-Dependent Population Equations with Poisson Jumps</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mao%20Wei">Mao Wei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The main aim of this paper is to investigate the exponential stability of the Euler method for a stochastic age-dependent population equations with Poisson random measures. It is proved that the Euler scheme is exponentially stable in mean square sense. An example is given for illustration.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stochastic%20age-dependent%20population%20equations" title="Stochastic age-dependent population equations">Stochastic age-dependent population equations</a>, <a href="https://publications.waset.org/search?q=poisson%20random%20measures" title=" poisson random measures"> poisson random measures</a>, <a href="https://publications.waset.org/search?q=numerical%20solutions" title=" numerical solutions"> numerical solutions</a>, <a href="https://publications.waset.org/search?q=exponential%20stability." title=" exponential stability."> exponential stability.</a> </p> <a href="https://publications.waset.org/861/exponential-stability-of-numerical-solutions-to-stochastic-age-dependent-population-equations-with-poisson-jumps" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/861/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/861/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/861/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/861/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/861/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/861/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/861/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/861/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/861/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/861/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/861.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1381</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2205</span> Identification of an Unstable Nonlinear System: Quadrotor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mauricio%20Pe%CB%9Cna">Mauricio Pe藴na</a>, <a href="https://publications.waset.org/search?q=Adriana%20Luna"> Adriana Luna</a>, <a href="https://publications.waset.org/search?q=Carol%20Rodr%C2%B4%C4%B1guez"> Carol Rodr麓谋guez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In the following article we begin from a multi-parameter unstable nonlinear model of a Quadrotor. We design a control to stabilize and assure the attitude of the device, starting off a linearized system at the equilibrium point of the null angles of Euler (hover), which provides us a control with limited capacities at small angles of rotation of the vehicle in three dimensions. In order to clear this obstacle, we propose the identification of models in different angles by means of simulations and the design of a controller specifically implemented for the identification task, that in future works will allow the development of controllers according to fast and agile angles of Euler for Quadrotor.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quadrotor" title="Quadrotor">Quadrotor</a>, <a href="https://publications.waset.org/search?q=model" title=" model"> model</a>, <a href="https://publications.waset.org/search?q=control" title=" control"> control</a>, <a href="https://publications.waset.org/search?q=identification." title=" identification."> identification.</a> </p> <a href="https://publications.waset.org/9997442/identification-of-an-unstable-nonlinear-system-quadrotor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997442/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997442/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997442/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997442/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997442/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997442/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997442/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997442/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997442/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997442/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997442.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2737</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2204</span> Reducing the False Rejection Rate of Iris Recognition Using Textural and Topological Features</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Vatsa">M. Vatsa</a>, <a href="https://publications.waset.org/search?q=R.%20Singh"> R. Singh</a>, <a href="https://publications.waset.org/search?q=A.%20Noore"> A. Noore</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a novel iris recognition system using 1D log polar Gabor wavelet and Euler numbers. 1D log polar Gabor wavelet is used to extract the textural features, and Euler numbers are used to extract topological features of the iris. The proposed decision strategy uses these features to authenticate an individual-s identity while maintaining a low false rejection rate. The algorithm was tested on CASIA iris image database and found to perform better than existing approaches with an overall accuracy of 99.93%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Iris%20recognition" title="Iris recognition">Iris recognition</a>, <a href="https://publications.waset.org/search?q=textural%20features" title=" textural features"> textural features</a>, <a href="https://publications.waset.org/search?q=topological%0Afeatures." title=" topological features."> topological features.</a> </p> <a href="https://publications.waset.org/5639/reducing-the-false-rejection-rate-of-iris-recognition-using-textural-and-topological-features" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5639/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5639/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5639/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5639/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5639/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5639/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5639/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5639/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5639/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5639/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5639.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1944</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2203</span> A Quadcopter Stability Analysis: A Case Study Using Simulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=C.%20S.%20Bianca%20Sabrina">C. S. Bianca Sabrina</a>, <a href="https://publications.waset.org/search?q=N.%20Egidio%20Raimundo"> N. Egidio Raimundo</a>, <a href="https://publications.waset.org/search?q=L.%20Alexandre%20Baratella"> L. Alexandre Baratella</a>, <a href="https://publications.waset.org/search?q=C.%20H.%20Jo%C3%A3o%20Paulo"> C. H. Jo茫o Paulo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper aims to present a study, with the theoretical concepts and applications of the Quadcopter, using the MATLAB simulator. In order to use this tool, the study of the stability of the drone through a Proportional - Integral - Derivative (PID) controller will be presented. After the stability study, some tests are done on the simulator and its results will be presented. From the mathematical model, it is possible to find the Newton-Euler angles, so that it is possible to stabilize the quadcopter in a certain position in the air, starting from the ground. In order to understand the impact of the controllers gain values on the stabilization of the Euler-Newton angles, three conditions will be tested with different controller gain values.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Controllers" title="Controllers">Controllers</a>, <a href="https://publications.waset.org/search?q=drones" title=" drones"> drones</a>, <a href="https://publications.waset.org/search?q=quadcopter" title=" quadcopter"> quadcopter</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/10011776/a-quadcopter-stability-analysis-a-case-study-using-simulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10011776/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10011776/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10011776/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10011776/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10011776/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10011776/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10011776/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10011776/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10011776/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10011776/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10011776.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1065</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2202</span> Prime Cordial Labeling on Graphs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20Babitha">S. Babitha</a>, <a href="https://publications.waset.org/search?q=J.%20Baskar%20Babujee"> J. Baskar Babujee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A prime cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, ..., |V |} such that each edge uv is assigned the label 1 if gcd(f(u), f(v)) = 1 and 0 if gcd(f(u), f(v)) > 1, then the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. In this paper we exhibit some characterization results and new constructions on prime cordial graphs.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Prime%20cordial" title="Prime cordial">Prime cordial</a>, <a href="https://publications.waset.org/search?q=tree" title=" tree"> tree</a>, <a href="https://publications.waset.org/search?q=Euler" title=" Euler"> Euler</a>, <a href="https://publications.waset.org/search?q=bijective" title=" bijective"> bijective</a>, <a href="https://publications.waset.org/search?q=function." title=" function."> function.</a> </p> <a href="https://publications.waset.org/16747/prime-cordial-labeling-on-graphs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16747/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16747/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16747/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16747/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16747/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16747/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16747/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16747/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16747/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16747/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16747.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3576</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2201</span> An Approximation Method for Exact Boundary Controllability of Euler-Bernoulli System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abdelaziz%20Khernane">Abdelaziz Khernane</a>, <a href="https://publications.waset.org/search?q=Naceur%20Khelil"> Naceur Khelil</a>, <a href="https://publications.waset.org/search?q=Leila%20Djerou"> Leila Djerou </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of this work is to study the numerical implementation of the Hilbert Uniqueness Method for the exact boundary controllability of Euler-Bernoulli beam equation. This study may be difficult. This will depend on the problem under consideration (geometry, control and dimension) and the numerical method used. Knowledge of the asymptotic behaviour of the control governing the system at time T may be useful for its calculation. This idea will be developed in this study. We have characterized as a first step, the solution by a minimization principle and proposed secondly a method for its resolution to approximate the control steering the considered system to rest at time T. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Boundary%20control" title="Boundary control">Boundary control</a>, <a href="https://publications.waset.org/search?q=exact%20controllability" title=" exact controllability"> exact controllability</a>, <a href="https://publications.waset.org/search?q=finite%0D%0Adifference%20methods" title=" finite difference methods"> finite difference methods</a>, <a href="https://publications.waset.org/search?q=functional%20optimization." title=" functional optimization."> functional optimization.</a> </p> <a href="https://publications.waset.org/10003220/an-approximation-method-for-exact-boundary-controllability-of-euler-bernoulli-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003220/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003220/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003220/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003220/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003220/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003220/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003220/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003220/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003220/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003220/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003220.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1487</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2200</span> Controller Design for Euler-Bernoulli Smart Structures Using Robust Decentralized FOS via Reduced Order Modeling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=T.C.%20Manjunath">T.C. Manjunath</a>, <a href="https://publications.waset.org/search?q=B.%20Bandyopadhyay"> B. Bandyopadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper features the modeling and design of a Robust Decentralized Fast Output Sampling (RDFOS) Feedback control technique for the active vibration control of a smart flexible multimodel Euler-Bernoulli cantilever beams for a multivariable (MIMO) case by retaining the first 6 vibratory modes. The beam structure is modeled in state space form using the concept of piezoelectric theory, the Euler-Bernoulli beam theory and the Finite Element Method (FEM) technique by dividing the beam into 4 finite elements and placing the piezoelectric sensor / actuator at two finite element locations (positions 2 and 4) as collocated pairs, i.e., as surface mounted sensor / actuator, thus giving rise to a multivariable model of the smart structure plant with two inputs and two outputs. Five such multivariable models are obtained by varying the dimensions (aspect ratios) of the aluminium beam. Using model order reduction technique, the reduced order model of the higher order system is obtained based on dominant Eigen value retention and the Davison technique. RDFOS feedback controllers are designed for the above 5 multivariable-multimodel plant. The closed loop responses with the RDFOS feedback gain and the magnitudes of the control input are obtained and the performance of the proposed multimodel smart structure system is evaluated for vibration control. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Smart%20structure" title="Smart structure">Smart structure</a>, <a href="https://publications.waset.org/search?q=Euler-Bernoulli%20beam%20theory" title=" Euler-Bernoulli beam theory"> Euler-Bernoulli beam theory</a>, <a href="https://publications.waset.org/search?q=Fastoutput%20sampling%20feedback%20control" title=" Fastoutput sampling feedback control"> Fastoutput sampling feedback control</a>, <a href="https://publications.waset.org/search?q=Finite%20Element%20Method" title=" Finite Element Method"> Finite Element Method</a>, <a href="https://publications.waset.org/search?q=Statespace%20model" title=" Statespace model"> Statespace model</a>, <a href="https://publications.waset.org/search?q=Vibration%20control" title=" Vibration control"> Vibration control</a>, <a href="https://publications.waset.org/search?q=LMI" title=" LMI"> LMI</a>, <a href="https://publications.waset.org/search?q=Model%20order%20Reduction." title=" Model order Reduction."> Model order Reduction.</a> </p> <a href="https://publications.waset.org/15092/controller-design-for-euler-bernoulli-smart-structures-using-robust-decentralized-fos-via-reduced-order-modeling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15092/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15092/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15092/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15092/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15092/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15092/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15092/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15092/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15092/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15092/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15092.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1753</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2199</span> Hydrodynamic Simulation of Co-Current and Counter Current of Column Distillation Using Euler Lagrange Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=H.%20Troudi">H. Troudi</a>, <a href="https://publications.waset.org/search?q=M.%20Ghiss"> M. Ghiss</a>, <a href="https://publications.waset.org/search?q=Z.%20Tourki"> Z. Tourki</a>, <a href="https://publications.waset.org/search?q=M.%20Ellejmi"> M. Ellejmi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Packed columns of liquefied petroleum gas (LPG) consists of separating the liquid mixture of propane and butane to pure gas components by the distillation phenomenon. The flow of the gas and liquid inside the columns is operated by two ways: The co-current and the counter current operation. Heat, mass and species transfer between phases represent the most important factors that influence the choice between those two operations. In this paper, both processes are discussed using computational CFD simulation through ANSYS-Fluent software. Only 3D half section of the packed column was considered with one packed bed. The packed bed was characterized in our case as a porous media. The simulations were carried out at transient state conditions. A multi-component gas and liquid mixture were used out in the two processes. We utilized the Euler-Lagrange approach in which the gas was treated as a continuum phase and the liquid as a group of dispersed particles. The heat and the mass transfer process was modeled using multi-component droplet evaporation approach. The results show that the counter-current process performs better than the co-current, although such limitations of our approach are noted. This comparison gives accurate results for computations times higher than 2 s, at different gas velocity and at packed bed porosity of 0.9.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Co-current" title="Co-current">Co-current</a>, <a href="https://publications.waset.org/search?q=counter%20current" title=" counter current"> counter current</a>, <a href="https://publications.waset.org/search?q=Euler%20Lagrange%20model" title=" Euler Lagrange model"> Euler Lagrange model</a>, <a href="https://publications.waset.org/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/search?q=mass%20transfer." title=" mass transfer."> mass transfer.</a> </p> <a href="https://publications.waset.org/10006393/hydrodynamic-simulation-of-co-current-and-counter-current-of-column-distillation-using-euler-lagrange-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006393/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10006393/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10006393/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10006393/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10006393/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10006393/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10006393/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10006393/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10006393/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10006393/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10006393.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1366</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2198</span> Numerical Investigation of the Performance of a Vorsyl Separator Using a Euler-Lagrange Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guozhen%20Li">Guozhen Li</a>, <a href="https://publications.waset.org/search?q=Philip%20Hall"> Philip Hall</a>, <a href="https://publications.waset.org/search?q=Nick%20Miles"> Nick Miles</a>, <a href="https://publications.waset.org/search?q=Tao%20Wu"> Tao Wu</a>, <a href="https://publications.waset.org/search?q=Jie%20Dong"> Jie Dong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a Euler-Lagrange model of the water-particles multiphase flows in a Vorsyl separator where particles with different densities are separated. A series of particles with their densities ranging from 760 kg/m<sup>3</sup> to 1380 kg/m<sup>3</sup> were fed into the Vorsyl separator with water by means of tangential inlet. The simulation showed that the feed materials acquired centrifugal force which allows most portion of the particles with a density less than water to move to the center of the separator, enter the vortex finder and leave the separator through the bottom outlet. While the particles heavier than water move to the wall, reach the throat area and leave the separator through the side outlet. The particles were thus separated and particles collected at the bottom outlet are pure and clean. The influence of particle density on separation efficiency was investigated which demonstrated a positive correlation of the separation efficiency with increasing density difference between medium liquid and the particle. In addition, the influence of the split ratio on the performance was studied which showed that the separation efficiency of the Vorsyl separator can be improved by the increase of split ratio. The simulation also suggested that the Vorsyl separator may not function when the feeding velocity is smaller than a certain critical feeding in velocity. In addition, an increasing feeding velocity gives rise to increased pressure drop, however does not necessarily increase the separation efficiency. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Vorsyl%20separator" title="Vorsyl separator">Vorsyl separator</a>, <a href="https://publications.waset.org/search?q=separation%20efficiency" title=" separation efficiency"> separation efficiency</a>, <a href="https://publications.waset.org/search?q=CFD" title=" CFD"> CFD</a>, <a href="https://publications.waset.org/search?q=split%20ratio." title=" split ratio."> split ratio.</a> </p> <a href="https://publications.waset.org/10005357/numerical-investigation-of-the-performance-of-a-vorsyl-separator-using-a-euler-lagrange-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005357/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005357/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005357/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005357/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005357/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005357/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005357/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005357/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005357/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005357/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005357.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1198</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2197</span> Implementation and Modeling of a Quadrotor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ersan%20Aktas">Ersan Aktas</a>, <a href="https://publications.waset.org/search?q=Eren%20Turano%C4%9Fuz"> Eren Turano臒uz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this study, the quad-electrical rotor driven unmanned aerial vehicle system is designed and modeled using fundamental dynamic equations. After that, mechanical, electronical and control system of the air vehicle are designed and implemented. Brushless motor speeds are altered via electronic speed controllers in order to achieve desired controllability. The vehicle's fundamental Euler angles (<em>i.e., </em>roll angle, pitch angle, and yaw angle) are obtained via AHRS sensor. These angles are provided as an input to the control algorithm that run on soft the processor on the electronic card. The vehicle control algorithm is implemented in the electronic card. Controller is designed and improved for each Euler angles. Finally, flight tests have been performed to observe and improve the flight characteristics.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quadrotor" title="Quadrotor">Quadrotor</a>, <a href="https://publications.waset.org/search?q=UAS%20applications" title=" UAS applications"> UAS applications</a>, <a href="https://publications.waset.org/search?q=control%20architectures" title=" control architectures"> control architectures</a>, <a href="https://publications.waset.org/search?q=PID." title=" PID."> PID.</a> </p> <a href="https://publications.waset.org/10004294/implementation-and-modeling-of-a-quadrotor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10004294/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10004294/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10004294/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10004294/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10004294/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10004294/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10004294/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10004294/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10004294/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10004294/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10004294.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1606</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2196</span> An Extension of the Kratzel Function and Associated Inverse Gaussian Probability Distribution Occurring in Reliability Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=R.%20K.%20Saxena">R. K. Saxena</a>, <a href="https://publications.waset.org/search?q=Ravi%20Saxena"> Ravi Saxena</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In view of their importance and usefulness in reliability theory and probability distributions, several generalizations of the inverse Gaussian distribution and the Krtzel function are investigated in recent years. This has motivated the authors to introduce and study a new generalization of the inverse Gaussian distribution and the Krtzel function associated with a product of a Bessel function of the third kind )(zKQ and a Z - Fox-Wright generalized hyper geometric function introduced in this paper. The introduced function turns out to be a unified gamma-type function. Its incomplete forms are also discussed. Several properties of this gamma-type function are obtained. By means of this generalized function, we introduce a generalization of inverse Gaussian distribution, which is useful in reliability analysis, diffusion processes, and radio techniques etc. The inverse Gaussian distribution thus introduced also provides a generalization of the Krtzel function. Some basic statistical functions associated with this probability density function, such as moments, the Mellin transform, the moment generating function, the hazard rate function, and the mean residue life function are also obtained.KeywordsFox-Wright function, Inverse Gaussian distribution, Krtzel function & Bessel function of the third kind.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fox-Wright%20function" title="Fox-Wright function">Fox-Wright function</a>, <a href="https://publications.waset.org/search?q=Inverse%20Gaussian%20distribution" title=" Inverse Gaussian distribution"> Inverse Gaussian distribution</a>, <a href="https://publications.waset.org/search?q=Krtzel%20function%20%26%20Bessel%20function%20of%20the%20third%20kind." title=" Krtzel function & Bessel function of the third kind."> Krtzel function & Bessel function of the third kind.</a> </p> <a href="https://publications.waset.org/674/an-extension-of-the-kratzel-function-and-associated-inverse-gaussian-probability-distribution-occurring-in-reliability-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/674/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/674/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/674/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/674/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/674/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/674/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/674/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/674/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/674/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/674/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/674.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1721</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2195</span> Controller Design for Euler-Bernoulli Smart Structures Using Robust Decentralized POF via Reduced Order Modeling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=T.C.%20Manjunath">T.C. Manjunath</a>, <a href="https://publications.waset.org/search?q=B.%20Bandyopadhyay"> B. Bandyopadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper features the proposed modeling and design of a Robust Decentralized Periodic Output Feedback (RDPOF) control technique for the active vibration control of smart flexible multimodel Euler-Bernoulli cantilever beams for a multivariable (MIMO) case by retaining the first 6 vibratory modes. The beam structure is modeled in state space form using the concept of piezoelectric theory, the Euler-Bernoulli beam theory and the Finite Element Method (FEM) technique by dividing the beam into 4 finite elements and placing the piezoelectric sensor / actuator at two finite element locations (positions 2 and 4) as collocated pairs, i.e., as surface mounted sensor / actuator, thus giving rise to a multivariable model of the smart structure plant with two inputs and two outputs. Five such multivariable models are obtained by varying the dimensions (aspect ratios) of the aluminum beam, thus giving rise to a multimodel of the smart structure system. Using model order reduction technique, the reduced order model of the higher order system is obtained based on dominant eigen value retention and the method of Davison. RDPOF controllers are designed for the above 5 multivariable-multimodel plant. The closed loop responses with the RDPOF feedback gain and the magnitudes of the control input are observed and the performance of the proposed multimodel smart structure system with the controller is evaluated for vibration control. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Smart%20structure" title="Smart structure">Smart structure</a>, <a href="https://publications.waset.org/search?q=Euler-Bernoulli%20beam%20theory" title=" Euler-Bernoulli beam theory"> Euler-Bernoulli beam theory</a>, <a href="https://publications.waset.org/search?q=Periodic%20output%20feedback%20control" title=" Periodic output feedback control"> Periodic output feedback control</a>, <a href="https://publications.waset.org/search?q=Finite%20Element%20Method" title=" Finite Element Method"> Finite Element Method</a>, <a href="https://publications.waset.org/search?q=State%20space%0D%0Amodel" title=" State space model"> State space model</a>, <a href="https://publications.waset.org/search?q=SISO" title=" SISO"> SISO</a>, <a href="https://publications.waset.org/search?q=Embedded%20sensors%20and%20actuators" title=" Embedded sensors and actuators"> Embedded sensors and actuators</a>, <a href="https://publications.waset.org/search?q=Vibration%20control" title=" Vibration control"> Vibration control</a>, <a href="https://publications.waset.org/search?q=Reduced%20order%20model" title=" Reduced order model"> Reduced order model</a> </p> <a href="https://publications.waset.org/8892/controller-design-for-euler-bernoulli-smart-structures-using-robust-decentralized-pof-via-reduced-order-modeling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8892/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8892/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8892/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8892/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8892/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8892/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8892/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8892/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8892/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8892/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8892.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2028</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2194</span> Improving Image Segmentation Performance via Edge Preserving Regularization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ying-jie%20Zhang">Ying-jie Zhang</a>, <a href="https://publications.waset.org/search?q=Li-ling%20Ge"> Li-ling Ge</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an improved image segmentation model with edge preserving regularization based on the piecewise-smooth Mumford-Shah functional. A level set formulation is considered for the Mumford-Shah functional minimization in segmentation, and the corresponding partial difference equations are solved by the backward Euler discretization. Aiming at encouraging edge preserving regularization, a new edge indicator function is introduced at level set frame. In which all the grid points which is used to locate the level set curve are considered to avoid blurring the edges and a nonlinear smooth constraint function as regularization term is applied to smooth the image in the isophote direction instead of the gradient direction. In implementation, some strategies such as a new scheme for extension of u+ and u- computation of the grid points and speedup of the convergence are studied to improve the efficacy of the algorithm. The resulting algorithm has been implemented and compared with the previous methods, and has been proved efficiently by several cases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Energy%20minimization" title="Energy minimization">Energy minimization</a>, <a href="https://publications.waset.org/search?q=image%20segmentation" title=" image segmentation"> image segmentation</a>, <a href="https://publications.waset.org/search?q=level%20sets" title=" level sets"> level sets</a>, <a href="https://publications.waset.org/search?q=edge%20regularization." title=" edge regularization."> edge regularization.</a> </p> <a href="https://publications.waset.org/5808/improving-image-segmentation-performance-via-edge-preserving-regularization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5808/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5808/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5808/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5808/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5808/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5808/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5808/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5808/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5808/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5808/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5808.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1498</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2193</span> A Numerical Model Simulation for an Updraft Gasifier Using High Temperature Steam</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=T.%20M.%20Ismail">T. M. Ismail</a>, <a href="https://publications.waset.org/search?q=M.%20Abd%20El-Salam"> M. Abd El-Salam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A mathematical model study was carried out to investigate gasification of biomass fuels using high temperature air and steam as a gasifying agent using high-temperature air up to 1000°C. In this study, a 2D computational fluid dynamics model was developed to study the gasification process in an updraft gasifier, considering drying, pyrolysis, combustion, and gasification reactions. The gas and solid phases were resolved using a Euler−Euler multiphase approach, with exchange terms for the momentum, mass, and energy. The standard k−ε turbulence model was used in the gas phase, and the particle phase was modeled using the kinetic theory of granular flow. The results show that the present model giving a promise way in its capability and sensitivity for the parameter affects that influence the gasification process.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Computational%20fluid%20dynamics" title="Computational fluid dynamics">Computational fluid dynamics</a>, <a href="https://publications.waset.org/search?q=gasification" title=" gasification"> gasification</a>, <a href="https://publications.waset.org/search?q=biomass%20fuel" title=" biomass fuel"> biomass fuel</a>, <a href="https://publications.waset.org/search?q=fixed%20bed%20gasifier" title=" fixed bed gasifier"> fixed bed gasifier</a> </p> <a href="https://publications.waset.org/9998128/a-numerical-model-simulation-for-an-updraft-gasifier-using-high-temperature-steam" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998128/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998128/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998128/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998128/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998128/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998128/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998128/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998128/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998128/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998128/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998128.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2826</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2192</span> Discrete Tracking Control of Nonholonomic Mobile Robots: Backstepping Design Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Alexander%20S.%20Andreev">Alexander S. Andreev</a>, <a href="https://publications.waset.org/search?q=Olga%20A.%20Peregudova"> Olga A. Peregudova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper we propose a discrete tracking control of nonholonomic mobile robots with two degrees of freedom. The electromechanical model of a mobile robot moving on a horizontal surface without slipping, with two rear wheels controlled by two independent DC electric, and one front roal wheel is considered. We present backstepping design based on the Euler approximate discretetime model of a continuous-time plant. Theoretical considerations are verified by numerical simulation.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Actuator%20Dynamics" title="Actuator Dynamics">Actuator Dynamics</a>, <a href="https://publications.waset.org/search?q=Backstepping" title=" Backstepping"> Backstepping</a>, <a href="https://publications.waset.org/search?q=Discrete-Time%0D%0AController" title=" Discrete-Time Controller"> Discrete-Time Controller</a>, <a href="https://publications.waset.org/search?q=Lyapunov%20Function" title=" Lyapunov Function"> Lyapunov Function</a>, <a href="https://publications.waset.org/search?q=Wheeled%20Mobile%20Robot." title=" Wheeled Mobile Robot."> Wheeled Mobile Robot.</a> </p> <a href="https://publications.waset.org/10001104/discrete-tracking-control-of-nonholonomic-mobile-robots-backstepping-design-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001104/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001104/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001104/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001104/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001104/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001104/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001104/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001104/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001104/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001104/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001104.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2058</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2191</span> A Hybrid Overset Algorithm for Aerodynamic Problems with Moving Objects</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20M.%20H.%20Karimian">S. M. H. Karimian</a>, <a href="https://publications.waset.org/search?q=F.%20S.%20Salehi"> F. S. Salehi</a>, <a href="https://publications.waset.org/search?q=H.%20Alisadeghi"> H. Alisadeghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A two-dimensional moving mesh algorithm is developed to simulate the general motion of two rotating bodies with relative translational motion. The grid includes a background grid and two sets of grids around the moving bodies. With this grid arrangement rotational and translational motions of two bodies are handled separately, with no complications. Inter-grid boundaries are determined based on their distances from two bodies. In this method, the overset concept is applied to hybrid grid, and flow variables are interpolated using a simple stencil. To evaluate this moving mesh algorithm unsteady Euler flow is solved for different cases using dual-time method of Jameson. Numerical results show excellent agreement with experimental data and other numerical results. To demonstrate the capability of present algorithm for accurate solution of flow fields around moving bodies, some benchmark problems have been defined in this paper.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Moving%20mesh" title="Moving mesh">Moving mesh</a>, <a href="https://publications.waset.org/search?q=Overset%20grid" title=" Overset grid"> Overset grid</a>, <a href="https://publications.waset.org/search?q=Unsteady%20Euler" title=" Unsteady Euler"> Unsteady Euler</a>, <a href="https://publications.waset.org/search?q=Relative%20motion." title=" Relative motion."> Relative motion.</a> </p> <a href="https://publications.waset.org/5981/a-hybrid-overset-algorithm-for-aerodynamic-problems-with-moving-objects" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5981/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5981/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5981/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5981/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5981/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5981/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5981/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5981/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5981/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5981/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5981.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1694</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2190</span> C Vibration Analysis of a Beam on Elastic Foundation with Elastically Restrained Ends Using Spectral Element Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hamioud%20Saida">Hamioud Saida</a>, <a href="https://publications.waset.org/search?q=Khalfallah%20Salah"> Khalfallah Salah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this study, a spectral element method (SEM) is employed to predict the free vibration of a Euler-Bernoulli beam resting on a Winkler foundation with elastically restrained ends. The formulation of the dynamic stiffness matrix has been established by solving the differential equation of motion which was transformed to frequency domain. Non-dimensional natural frequencies and shape modes are obtained by solving the partial differential equations, numerically. Numerical comparisons and examples are performed to show the effectiveness of the SEM and to investigate the effects of various parameters, such as the springs at the boundaries and the elastic foundation parameter on the vibration frequencies. The obtained results demonstrate that the present method can also be applied to solve the more general problem of the dynamic analysis of structures with higher order precision.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Elastically%20supported%20Euler-Bernoulli%20beam" title="Elastically supported Euler-Bernoulli beam">Elastically supported Euler-Bernoulli beam</a>, <a href="https://publications.waset.org/search?q=free-vibration" title=" free-vibration"> free-vibration</a>, <a href="https://publications.waset.org/search?q=spectral%20element%20method" title=" spectral element method"> spectral element method</a>, <a href="https://publications.waset.org/search?q=Winkler%20foundation." title=" Winkler foundation. "> Winkler foundation. </a> </p> <a href="https://publications.waset.org/10010766/c-vibration-analysis-of-a-beam-on-elastic-foundation-with-elastically-restrained-ends-using-spectral-element-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10010766/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10010766/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10010766/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10010766/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10010766/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10010766/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10010766/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10010766/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10010766/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10010766/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10010766.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">666</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2189</span> A New Definition of the Intrinsic Mode Function</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zhihua%20Yang">Zhihua Yang</a>, <a href="https://publications.waset.org/search?q=Lihua%20Yang"> Lihua Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper makes a detailed analysis regarding the definition of the intrinsic mode function and proves that Condition 1 of the intrinsic mode function can really be deduced from Condition 2. Finally, an improved definition of the intrinsic mode function is given.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Empirical%20Mode%20Decomposition%20%28EMD%29" title="Empirical Mode Decomposition (EMD)">Empirical Mode Decomposition (EMD)</a>, <a href="https://publications.waset.org/search?q=Hilbert-Huang%20transform%28HHT%29" title=" Hilbert-Huang transform(HHT)"> Hilbert-Huang transform(HHT)</a>, <a href="https://publications.waset.org/search?q=Intrinsic%20Mode%20Function%28IMF%29." title=" Intrinsic Mode Function(IMF)."> Intrinsic Mode Function(IMF).</a> </p> <a href="https://publications.waset.org/14995/a-new-definition-of-the-intrinsic-mode-function" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14995/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14995/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14995/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14995/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14995/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14995/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14995/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14995/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14995/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14995/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14995.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3591</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2188</span> Dynamic Time Warping in Gait Classificationof Motion Capture Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Adam%20%C5%9Awito%C5%84ski">Adam 艢wito艅ski</a>, <a href="https://publications.waset.org/search?q=Agnieszka%20Michalczuk"> Agnieszka Michalczuk</a>, <a href="https://publications.waset.org/search?q=Henryk%20Josi%C5%84ski"> Henryk Josi艅ski</a>, <a href="https://publications.waset.org/search?q=Andrzej%20Pola%C5%84ski"> Andrzej Pola艅ski</a>, <a href="https://publications.waset.org/search?q=KonradWojciechowski"> KonradWojciechowski</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The method of gait identification based on the nearest neighbor classification technique with motion similarity assessment by the dynamic time warping is proposed. The model based kinematic motion data, represented by the joints rotations coded by Euler angles and unit quaternions is used. The different pose distance functions in Euler angles and quaternion spaces are considered. To evaluate individual features of the subsequent joints movements during gait cycle, joint selection is carried out. To examine proposed approach database containing 353 gaits of 25 humans collected in motion capture laboratory is used. The obtained results are promising. The classifications, which takes into consideration all joints has accuracy over 91%. Only analysis of movements of hip joints allows to correctly identify gaits with almost 80% precision.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Biometrics" title="Biometrics">Biometrics</a>, <a href="https://publications.waset.org/search?q=dynamic%20time%20warping" title=" dynamic time warping"> dynamic time warping</a>, <a href="https://publications.waset.org/search?q=gait%20identification" title=" gait identification"> gait identification</a>, <a href="https://publications.waset.org/search?q=motion%20capture" title=" motion capture"> motion capture</a>, <a href="https://publications.waset.org/search?q=time%20series%20classification" title=" time series classification"> time series classification</a>, <a href="https://publications.waset.org/search?q=quaternion%20distance%20functions" title=" quaternion distance functions"> quaternion distance functions</a>, <a href="https://publications.waset.org/search?q=attribute%20ranking." title=" attribute ranking."> attribute ranking.</a> </p> <a href="https://publications.waset.org/14952/dynamic-time-warping-in-gait-classificationof-motion-capture-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14952/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14952/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14952/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14952/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14952/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14952/json" target="_blank" rel="nofollow" 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